Magma V2.19-8 Thu Sep 12 2013 15:23:17 on localhost [Seed = 3518076726] Type ? for help. Type -D to quit. Loading file "10^2_145__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation 10^2_145 geometric_solution 15.28701433 oriented_manifold CS_known -0.0000000000000006 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 17 1 2 3 2 0132 0132 0132 1230 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 1 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.684572011063 0.923565001069 0 4 4 5 0132 0132 1302 0132 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 1 0 0 0 1 -1 0 0 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.384853525761 0.569666500748 0 0 7 6 3012 0132 0132 0132 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 0 1 0 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.331169422925 0.969655513031 5 4 8 0 0132 1230 0132 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 1 1 0 -1 0 1 -1 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.701799847790 0.476980157392 1 1 3 9 2031 0132 3012 0132 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 -1 0 -1 0 1 0 -1 0 0 1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.185722937068 1.205306263371 3 10 1 11 0132 0132 0132 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 1 0 1 -1 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.411756155526 0.718804890843 12 11 2 8 0132 0321 0132 3120 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.484472156034 1.650164554287 13 13 9 2 0132 1230 1230 0132 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.480524422237 1.102703663206 6 13 14 3 3120 1302 0132 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.284282447517 0.802061937734 14 14 4 7 0213 2103 0132 3012 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.913139051423 0.917968511395 15 5 16 16 0132 0132 2103 0132 0 1 0 0 0 0 0 0 0 0 0 0 1 0 0 -1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 0 1 0 -1 0 1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.250651003584 0.499979277260 15 16 5 6 1023 2103 0132 0321 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.982885603005 0.330693155663 6 15 15 14 0132 1302 1023 3012 1 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.371894107730 1.297174807184 7 16 7 8 0132 0321 3012 2031 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.667884436142 0.762136182733 9 9 12 8 0213 2103 1230 0132 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.913139051423 0.917968511395 10 11 12 12 0132 1023 1023 2031 0 1 0 0 0 0 0 0 0 0 -1 1 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.204228831816 0.712354646191 10 11 10 13 2103 2103 0132 0321 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 1 0 0 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.198699379199 1.598372635769 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_15' : d['c_0101_11'], 'c_1001_14' : d['c_0011_9'], 'c_1001_16' : negation(d['c_0011_10']), 'c_1001_11' : d['c_0011_16'], 'c_1001_10' : d['c_0011_16'], 'c_1001_13' : d['c_0011_13'], 'c_1001_12' : d['c_0101_10'], 'c_1001_5' : negation(d['c_0011_10']), 'c_1001_4' : negation(d['c_0011_10']), 'c_1001_7' : d['c_1001_3'], 'c_1001_6' : d['c_0101_4'], 'c_1001_1' : d['c_0011_14'], 'c_1001_0' : d['c_0101_4'], 'c_1001_3' : d['c_1001_3'], 'c_1001_2' : d['c_0101_13'], 'c_1001_9' : d['c_0011_14'], 'c_1001_8' : d['c_0101_7'], 'c_1010_13' : d['c_0011_8'], 'c_1010_12' : negation(d['c_0011_9']), 'c_1010_11' : negation(d['c_0011_8']), 'c_1010_10' : negation(d['c_0011_10']), 'c_1010_16' : d['c_0011_8'], 'c_1010_15' : d['c_0011_12'], 'c_1010_14' : d['c_0101_7'], 's_0_10' : d['1'], 's_0_11' : d['1'], 's_0_12' : d['1'], 's_3_12' : d['1'], 's_0_14' : d['1'], 's_3_14' : d['1'], 's_0_16' : d['1'], 's_3_16' : d['1'], 's_2_8' : d['1'], 'c_0101_12' : d['c_0101_11'], 'c_0101_11' : d['c_0101_11'], 'c_0101_10' : d['c_0101_10'], 'c_0101_16' : d['c_0101_10'], 'c_0101_15' : d['c_0101_10'], 'c_0101_14' : d['c_0011_9'], 's_2_0' : d['1'], 's_2_1' : negation(d['1']), 's_2_2' : d['1'], 's_2_3' : d['1'], 's_2_4' : d['1'], 's_2_5' : negation(d['1']), 's_2_6' : negation(d['1']), 's_2_7' : d['1'], 's_2_12' : d['1'], 's_2_13' : d['1'], 's_2_10' : d['1'], 's_2_11' : negation(d['1']), 's_2_16' : d['1'], 's_2_14' : d['1'], 's_2_15' : d['1'], 's_0_6' : d['1'], 's_0_7' : d['1'], 's_0_4' : negation(d['1']), 's_0_5' : d['1'], 's_0_2' : d['1'], 's_0_3' : d['1'], 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_0011_15' : negation(d['c_0011_10']), 'c_0011_14' : d['c_0011_14'], 'c_0011_16' : d['c_0011_16'], 'c_0011_11' : negation(d['c_0011_10']), 'c_0011_10' : d['c_0011_10'], 'c_0011_13' : d['c_0011_13'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : d['c_0101_4'], 'c_1100_4' : negation(d['c_1001_3']), 'c_1100_7' : negation(d['c_0101_8']), 'c_1100_6' : negation(d['c_0101_8']), 'c_1100_1' : d['c_0101_4'], 'c_1100_0' : d['c_0101_6'], 'c_1100_3' : d['c_0101_6'], 'c_1100_2' : negation(d['c_0101_8']), 'c_1100_14' : d['c_0101_6'], 'c_1100_15' : d['c_0011_9'], 's_3_11' : negation(d['1']), 'c_1100_16' : d['c_0011_13'], 'c_1100_11' : d['c_0101_4'], 'c_1100_10' : d['c_0011_13'], 'c_1100_13' : negation(d['c_1001_3']), 'c_1100_12' : negation(d['c_0011_9']), 's_3_13' : d['1'], 'c_1010_7' : d['c_0101_13'], 'c_1010_6' : negation(d['c_0011_8']), 'c_1010_5' : d['c_0011_16'], 's_0_13' : d['1'], 'c_1010_3' : d['c_0101_4'], 'c_1010_2' : d['c_0101_4'], 'c_1010_1' : negation(d['c_0011_10']), 'c_1010_0' : d['c_0101_13'], 's_3_15' : d['1'], 'c_1010_9' : negation(d['c_0101_7']), 's_0_15' : d['1'], 'c_1100_8' : d['c_0101_6'], 's_3_1' : negation(d['1']), 's_3_0' : d['1'], 's_3_3' : d['1'], 's_3_2' : negation(d['1']), 's_3_5' : negation(d['1']), 's_3_4' : d['1'], 's_3_7' : d['1'], 's_3_6' : d['1'], 's_3_9' : d['1'], 's_3_8' : d['1'], 's_1_7' : d['1'], 's_1_6' : negation(d['1']), 's_1_5' : d['1'], 's_1_4' : negation(d['1']), 's_1_3' : d['1'], 's_1_2' : negation(d['1']), 's_1_1' : negation(d['1']), 's_1_0' : negation(d['1']), 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : d['c_0011_9'], 'c_0011_8' : d['c_0011_8'], 's_3_10' : d['1'], 'c_0011_5' : negation(d['c_0011_10']), 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : negation(d['c_0011_13']), 'c_0011_6' : negation(d['c_0011_12']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_10'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0011_12'], 'c_0110_10' : d['c_0101_10'], 'c_0110_13' : d['c_0101_7'], 'c_0110_12' : d['c_0101_6'], 'c_0110_15' : d['c_0101_10'], 'c_0110_14' : d['c_0101_8'], 'c_0110_16' : negation(d['c_0011_13']), 'c_1010_4' : d['c_0011_14'], 'c_0110_0' : negation(d['c_0011_0']), 's_0_8' : d['1'], 's_0_9' : d['1'], 'c_1010_8' : d['c_1001_3'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_11'], 'c_0101_2' : d['c_0101_13'], 'c_0101_1' : negation(d['c_0011_0']), 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0011_14'], 'c_0101_8' : d['c_0101_8'], 's_1_16' : d['1'], 's_1_15' : d['1'], 's_1_14' : d['1'], 's_1_13' : d['1'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0101_8']), 'c_0110_8' : d['c_0101_11'], 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : negation(d['c_1001_3']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_6'], 'c_0110_5' : d['c_0101_11'], 'c_0110_4' : d['c_0011_14'], 'c_0110_7' : d['c_0101_13'], 'c_0110_6' : d['c_0101_11'], 's_2_9' : d['1'], 'c_0101_13' : d['c_0101_13']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 18 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_12, c_0011_13, c_0011_14, c_0011_16, c_0011_8, c_0011_9, c_0101_0, c_0101_10, c_0101_11, c_0101_13, c_0101_4, c_0101_6, c_0101_7, c_0101_8, c_1001_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 4 Groebner basis: [ t - 12357323/399*c_1001_3^3 - 52837525/399*c_1001_3^2 - 4658600/21*c_1001_3 + 12771940/133, c_0011_0 - 1, c_0011_10 - 1/3*c_1001_3^3 - c_1001_3^2 - 2*c_1001_3 + 2/3, c_0011_12 - 1/3*c_1001_3^3 - 7/3*c_1001_3^2 - 14/3*c_1001_3 + 4/3, c_0011_13 - 2/3*c_1001_3^3 - 8/3*c_1001_3^2 - 13/3*c_1001_3 + 5/3, c_0011_14 - 1/3*c_1001_3^2 - 2/3*c_1001_3 - 1/3, c_0011_16 - 1/3*c_1001_3^2 + 1/3*c_1001_3 - 1/3, c_0011_8 + 1/3*c_1001_3^2 + 2/3*c_1001_3 + 1/3, c_0011_9 - 1/3*c_1001_3^2 - 2/3*c_1001_3 + 2/3, c_0101_0 - 1, c_0101_10 + 1/3*c_1001_3^3 + 4/3*c_1001_3^2 + 8/3*c_1001_3 - 4/3, c_0101_11 - 1/3*c_1001_3^3 - 2*c_1001_3^2 - 3*c_1001_3 + 2/3, c_0101_13 - 1/3*c_1001_3^3 - 4/3*c_1001_3^2 - 5/3*c_1001_3 + 4/3, c_0101_4 + 1/3*c_1001_3^3 + 2/3*c_1001_3^2 + 4/3*c_1001_3 - 1, c_0101_6 + 2/3*c_1001_3^2 + 1/3*c_1001_3 - 1/3, c_0101_7 + 1/3*c_1001_3^3 + 5/3*c_1001_3^2 + 7/3*c_1001_3 - 1, c_0101_8 + 1/3*c_1001_3^3 + 4/3*c_1001_3^2 + 8/3*c_1001_3 - 4/3, c_1001_3^4 + 4*c_1001_3^3 + 6*c_1001_3^2 - 5*c_1001_3 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 517.860 Total time: 518.149 seconds, Total memory usage: 846.03MB